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20231032332100 = 22521344891504289
BaseRepresentation
bin1001001100110011001110…
…11111101101111101000100
32122122001211102112222221111
410212121213133231331010
510122431123234111400
6111010001414454404
74155433561316212
oct446314737557504
978561742488844
1020231032332100
11649aa29369697
122328aab964404
13b39a168157a5
144dd28990dcb2
152513c78a03ba
hex1266677edf44

20231032332100 has 36 divisors (see below), whose sum is σ = 43901695775700. Its totient is φ = 8092347381760.

The previous prime is 20231032332097. The next prime is 20231032332103. The reversal of 20231032332100 is 123323013202.

It is an interprime number because it is at equal distance from previous prime (20231032332097) and next prime (20231032332103).

It can be written as a sum of positive squares in 6 ways, for example, as 378500570176 + 19852531761924 = 615224^2 + 4455618^2 .

It is not an unprimeable number, because it can be changed into a prime (20231032332103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12696756 + ... + 14201044.

It is an arithmetic number, because the mean of its divisors is an integer number (1219491549325).

Almost surely, 220231032332100 is an apocalyptic number.

20231032332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231032332100 is an abundant number, since it is smaller than the sum of its proper divisors (23670663443600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20231032332100 is a wasteful number, since it uses less digits than its factorization.

20231032332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638792 (or 1638785 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 20231032332100 its reverse (123323013202), we get a palindrome (20354355345302).

The spelling of 20231032332100 in words is "twenty trillion, two hundred thirty-one billion, thirty-two million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 134489 268978 537956 672445 1344890 1504289 2689780 3008578 3362225 6017156 6724450 7521445 13448900 15042890 30085780 37607225 75214450 150428900 202310323321 404620646642 809241293284 1011551616605 2023103233210 4046206466420 5057758083025 10115516166050 20231032332100